How can I organize clothes inside cubbies?

Al

My boyfriend and I don't have enough room for clothes even after we sorted through and donated a lot of them. I want to get rid of this huge bulky wooden shoe cubby thing he has which takes up half the closet but he doesn't want to get rid of it. It's hard to put clothes in there because they're stacked on top of each other and everything falls out if you pull something from the bottom. I wanted to replace it with something that has drawers but he wants to keep it (ughhh *insert eye roll* lol) so does anyone have any ideas for what I can do with these cubbies to make them functional for storing clothes? I was thinking I'd get those plastic storage containers that are basically like drawers and put one in each cubby but I can't find any that would be small enough to fit.